Alan Beardon
Alan Frank Beardon (born April 16, 1940 ) is a British mathematician who deals with analysis and geometric applications of groups.
Beardon received his PhD in 1964 under Walter Hayman from Imperial College London . He was a professor of function theory at Cambridge University . In 2007 he retired.
He deals with geometric questions from complex analysis such as the iteration of rational functions ( Julia set ) and discrete groups of Möbius transformations (Klein groups). He also wrote textbooks about it. In 1991, together with Kenneth Stephenson, he proved a discrete version of Schwarz and Pick's lemma for circular packing and a corresponding uniformization theorem (after William Thurston had already introduced a discrete version of Riemann's mapping theorem with circular packing in 1985).
Samuel Patterson is one of his PhD students . In 1997 he received the Lester Randolph Ford Award for Sums of powers of integers , and in 2017 the G. de B. Robinson Award for Non-discrete Frieze Groups .
Fonts
- Creative Mathematics - a gateway to research , Cambridge University Press, 2009
- Algebra and Geometry , Cambridge University Press, 2005
- Iteration of rational functions. Complex analytic dynamical systems , Graduate Texts in Mathematics, Springer Verlag, 1991
- Limits: a new approach to real analysis , Undergraduate Texts in Mathematics, Springer Verlag, 1997
- Complex analysis: the argument principle in analysis and topology , Wiley, 1979
- The geometry of discrete groups , Graduate Texts in Mathematics, Springer Verlag, 1983, 1995
- A primer on Riemann Surfaces , Cambridge University Press, 1984
Web links
- Literature by and about Alan Beardon in the catalog of the German National Library
- Author profile Alan F. Beardon in the database zbMATH
Individual evidence
- ↑ Alan Beardon in the Mathematics Genealogy Project (English)
- ↑ Beardon: The Hausdorff Dimension of singular sets of properly discontinuous groups , American J. Math., Volume 88, 1966, p. 722
- ↑ Beardon, Stephenson The Schwarz-Pick Lemma for circle packings , Illinois J. Math., Vol. 35, 1991, p. 577, Beardon, Stephenson The uniformization theorem for circle packings , Indiana Univ. Math. J., Volume 39, 1990, p. 1383, see K. Stephenson Circle packing - a mathematical tale , Notices AMS, Volume 50, No. 11, 2003
- ^ American Mathematical Monthly, March 1996
personal data | |
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SURNAME | Beardon, Alan |
ALTERNATIVE NAMES | Beardon, Alan Frank (full name) |
BRIEF DESCRIPTION | British mathematician |
DATE OF BIRTH | April 16, 1940 |